Question

⭐DETAILED AMSWER REQUIRED⭐

$if \: {x}^{4} + \frac{1}{ {x}^{4} } = 119 \: \: \\ find \: the \: value \: of \: {x}^{3} - \frac{1}{ {x}^{3} }$
Answer as per class 9 , Chapter 2, Polynomials

Answer 1

(x^2+1/x^2)^2=x^4+1/x^4+2
(x^2+1/x^2)^2=119+2
(x^2+1/x^2)^2=121
(x^2+1/x^2)=11
now
(x-1/x)^2=x^2+1/x^2-2
(x-1/x)^2=11-2
(x-1/x)=3

cubing on both sides
x^3-1/x^3-3(x-1/x)=27
x^3-1/x^3-9=27
x^3-1/x^3=27+9
x^3-1/x^3=34
this is the answer.....
Please mark as brainliest answer